Correlation functions for inhomogeneous magnetic field in random media with application to a dense random pack of spheres

被引：55

作者：

Audoly, B

Sen, PN

Ryu, S

Song, YQ

机构：

[1] Schlumberger Doll Res Ctr, Ridgefield, CT 06877 USA

[2] Univ Paris 06, Lab Modelisat Mecan, F-75231 Paris 05, France

来源：

JOURNAL OF MAGNETIC RESONANCE | 2003年 / 164卷 / 01期

关键词：

NMR; internal magnetic field; correlation function; structure factor;

D O I：

10.1016/S1090-7807(03)00179-4

中图分类号：

Q5 [生物化学];

学科分类号：

071010 ; 081704 ;

摘要：

In porous media subject to applied magnetic field, the internal field arises out of susceptibility contrast of the constituents. We have examined the spatial inhomogeneity of the internal fields in a random pack of spheres using numerical computation. We find that the pair-correlation function of the internal field (K-2) is a close approximation to the structure factor of the material, thus K-2 can be used to characterize pore geometry. The magnetic length scale Lambda(M) exhibited in K-2 is shown to be related to the fluid transport in the medium. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

收藏

页码：154 / 159

页数：6

相关论文

共 19 条

[1] CHARACTERISTIC PORE SIZES AND TRANSPORT IN POROUS-MEDIA [J].

BANAVAR, JR ;

JOHNSON, DL .

PHYSICAL REVIEW B, 1987, 35 (13) :7283-7286

[2] USE OF DIGITAL IMAGE-ANALYSIS TO ESTIMATE FLUID PERMEABILITY OF POROUS MATERIALS - APPLICATION OF 2-POINT CORRELATION-FUNCTIONS [J].

BERRYMAN, JG ;

BLAIR, SC .

JOURNAL OF APPLIED PHYSICS, 1986, 60 (06) :1930-1938

[3] SCALING OF SPIN-ECHO AMPLITUDES WITH FREQUENCY, DIFFUSION-COEFFICIENT, PORE-SIZE, AND SUSCEPTIBILITY DIFFERENCE FOR THE NMR OF FLUIDS IN POROUS-MEDIA AND BIOLOGICAL TISSUES [J].

BORGIA, GC ;

BROWN, RJS ;

FANTAZZINI, P .

PHYSICAL REVIEW E, 1995, 51 (03) :2104-2114

[4] DISTRIBUTION OF FIELDS FROM RANDOMLY PLACED DIPOLES - FREE-PRECESSION SIGNAL DECAY AS RESULT OF MAGNETIC GRAINS [J].

BROWN, RJ .

PHYSICAL REVIEW, 1961, 121 (05) :1379-+

[5] CONDITIONS FOR INITIAL QUASI-LINEAR T(2)(-1) VERSUS TAU FOR CARR-PURCELL-MEIBOOM-GILL NMR WITH DIFFUSION AND SUSCEPTIBILITY DIFFERENCES IN POROUS-MEDIA AND TISSUES [J].

BROWN, RJS ;

FANTAZZINI, P .

PHYSICAL REVIEW B, 1993, 47 (22) :14823-14834

[6]

CARGILL GS, 1984, PHYSICS CHEM POROUS

[7] SCATTERING BY AN INHOMOGENEOUS SOLID .2. THE CORRELATION FUNCTION AND ITS APPLICATION [J].

DEBYE, P ;

ANDERSON, HR ;

BRUMBERGER, H .

JOURNAL OF APPLIED PHYSICS, 1957, 28 (06) :679-683

[8] BROADENING OF MAGNETIC RESONANCE LINES DUE TO FIELD INHOMOGENEITIES IN POWDERED SAMPLES [J].

DRAIN, LE .

PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1962, 80 (518) :1380-&

[9]

FINNEY JL, 1964, THESIS U LONDON

[10] Effective gradients in porous media due to susceptibility differences [J].

Hürlimann, MD .

JOURNAL OF MAGNETIC RESONANCE, 1998, 131 (02) :232-240